$$U_{1393}(x, y) = \frac{\frac{y}{\left(1 - x\right)^{2}} + 1}{\left(1 - x\right)^{3}}$$

$$T_{1393}(n, m, k) = {\binom{k}{m}} {\binom{3 k + 2 m + n - 1}{n}}$$